In a large city league, the boys' baseball teams hold a tournament. If there are 40 teams in the league and half of the teams are eliminated in each round of games, how many teams are left after 3 rounds?
After:
Round 1: 20 teams
Round 2: 10 teams
Round 3: 5 teams
3 groups
To find out how many teams are left after 3 rounds in the tournament, we need to determine how many teams are eliminated in each round.
In the first round, half of the teams are eliminated. Since there are 40 teams, half of them would be 40/2 = 20 teams eliminated.
Now, after the first round, we have 40 - 20 = 20 teams left.
In the second round, again, half of the remaining teams are eliminated. Since we have 20 teams left, half of them would be 20/2 = 10 teams eliminated.
After the second round, we have 20 - 10 = 10 teams left.
Finally, in the third round, half of the remaining teams are eliminated. Since we have 10 teams left, half of them would be 10/2 = 5 teams eliminated.
After the third round, we have 10 - 5 = 5 teams left.
Therefore, after 3 rounds, there are 5 teams left in the tournament.